Search a number
-
+
21131032222300 = 225271113613460643
BaseRepresentation
bin1001100110111111100111…
…01010110101101001011100
32202211002212222010111120011
410303133303222311221130
510232202323222103200
6112535243455533004
74310444451211510
oct463376352655134
982732788114504
1021131032222300
116807690893a40
122453403b2a164
13ba3856263910
14530a66ca8140
152699eeda95ba
hex1337f3ab5a5c

21131032222300 has 288 divisors, whose sum is σ = 62575973881344. Its totient is φ = 5979989376000.

The previous prime is 21131032222271. The next prime is 21131032222303. The reversal of 21131032222300 is 322223013112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131032222303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4375779 + ... + 7836421.

It is an arithmetic number, because the mean of its divisors is an integer number (217277687088).

Almost surely, 221131032222300 is an apocalyptic number.

21131032222300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21131032222300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31287986940672).

21131032222300 is an abundant number, since it is smaller than the sum of its proper divisors (41444941659044).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21131032222300 is a wasteful number, since it uses less digits than its factorization.

21131032222300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460749 (or 3460742 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 21131032222300 its reverse (322223013112), we get a palindrome (21453255235412).

The spelling of 21131032222300 in words is "twenty-one trillion, one hundred thirty-one billion, thirty-two million, two hundred twenty-two thousand, three hundred".